Recent questions tagged mechanics-of-deformable-bodies

For a certain linear elastic isotropic material, the Young's modulus is $140 \: \mathrm{GPa}$ and the shear modulus is $50 \: \mathrm{GPa}$.The Poisson's ratio for the ma...

Consider two blocks, $\mathbf{P}$ of mass $100 \: \mathrm{kg}$ and $\mathbf{Q}$ of mass $150 \: \mathrm{ kg}$, resting as shown in the figure. The angle $\theta=30^{\circ...

​​​​Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?Cantilever column with a length $\text{L}$ and cros...

A closed thin cylindrical tank with a mean diameter $\mathrm{d}=300 \mathrm{~mm}$ and thickness $\mathrm{t}=2 \mathrm{~mm}$, is subjected to a uniform internal gas pressu...

​​​An infinitesimal square element $\text{PQRS}$ is shown in the figure. The $x$ and $y$ axes are also marked in the figure. The strains on the element are given by$\vare...

The figure shows the stress distribution across an internal surface of a rectangular beam of height $30 \: \mathrm{mm}$ and depth $10 \: \mathrm{mm}$. The normal stress d...

A vertical column fixed at one end is subjected to a compressive axial load at the free end. The column's section modulus, $\text{EI}$, is $9.82 \times 10^{5} \: \mathrm{...

A simply-supported beam, with a point load $\text{P}=150 \: \mathrm{kN}$ at a distance of $\text{L} / 3$ from the left end, is shown in the figure. The elastic-strain ene...

A simply-supported beam has a circular cross-section with a diameter of $20 \: \mathrm{mm}$ , area of $314.2 \mathrm{~mm}^{2}$, area moment of inertia of $7854 \mathrm{~m...

A massless cantilever beam, with a tip mass m of $10 \: \mathrm{kg}$, is modeled as an equivalent spring-mass system as shown in the figure. The beam is of length $\mathr...

A bar of length $\text{L}=1 \mathrm{~m}$ is fixed at one end. Before heating its free end has a gap of $\delta=0.1 \mathrm{~mm}$ from a rigid wall as shown in the figure....

​​​During material testing, stress is applied from time $t_{i}$ to $t_{f}$ as shown below:The corresponding strain responses for three different materials are shown in pl...

A unidirectional composite of a resin is prepared with continuous fibers, wherein the volume fraction of the fiber in the composite is $0.7$. Assume that the resin has a ...

Mechanical behaviour of a crystalline ceramic material is best described asductilebrittleviscoelasticViscoplastic

The engineering stress $(\sigma)$ vs. engineering strain $(\varepsilon)$ curve obtained by conducting uniaxial tension test on a steel specimen is shown in the figure $\t...

A simply-supported beam of rectangular cross-section $\text{(width $w$ and height $h$)}$ is subjected to the loads as shown in the figure $\text{(i)}$. The enlarged view ...

A spring is connected to an elastic bar as shown in the figure. The spring has a stiffness constant of $10^{7} \mathrm{~N} / \mathrm{m}$. The bar is 70 mm long, and has a...

A solid circular shaft of diameter $100$ mm is subjected to a torque $3 \pi \mathrm{kNm}$. Which of the following statements about the state of stress in the shaft is/are...

A $0-45-90$ strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges $\mathrm{p}, \mathrm{q}$ and r are oriented ...